Answer:
center (h, k) = (10, -1)
radius (r) = 1
Step-by-step explanation:
x² + y² - 20x + 2y + 100 = 0
(x² - 20x) + (y² + 2y) = -100
(x² - 20x + 100) + (y² + 2y + 1) = -100 + 100 + 1
(x² - 20x + 100) + (y² + 2y + 1) = 1
(x - 10)² + (y + 1)² = 1
(x - 10)² + (y - (-1))² = 1
eq.: (x - h)² + (y - k)² = r²
center (h, k) = (10, -1)
radius (r) = 1